A triangular system of mass $$100$$ g consisting of $$3$$ wires of lengths, as shown in figure and length of AO as $$4$$ units, are placed in the magnetic field of $$1T$$. The current of $$1A$$ flows through wire AO. The wires are of same material and $$cross-sectional$$ area. In which direction will the system move?

Question

Infinity Learn · Accepted Answer

The forces will act as shown in figure Magnitude of $$F2$$, and $$F3$$ will be same.Along negative $$x-axis$$ $$F2=F3=ILB=0.5$$×$$5$$×$$1$$ $$=2.5$$ $$NI2=I3=0.5$$ A  Resultant of $$F2$$ and $$F3$$  $$=F22+F32=2.52$$≅$$3.5$$ N $$F1=1$$×$$4$$×$$1=4$$ N  along positive $$x-axis$$  $$F=1$$×$$4$$×$$1=4$$ N along positive $$x-axis$$ Net resultant force $$-$$ $$4$$ $$-$$ $$3.5$$ $$=$$ $$0.5$$ N along positive $$x-axis$$.

A triangular system of mass 100 g consisting of 3 wires of lengths, as shown in figure and length of AO as 4 units, are placed in the magnetic field of 1T. The current of 1A flows through wire AO. The wires are of same material and cross-sectional area. In which direction will the system move?

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